Question 62111
Find the x and y intercepts of the line with the equation 4x-5y=20
To find the x-intercept, let y=0 and solve for x:
4x-5(0)=20
4x-0=20
4x=20
4x/4=20/4
x=5  The x-intercept is (4,0)
:
To find the y-intercept, let x=0 and solve for y.
4(0)-5y=20
0-5y=20
-5y=20
-5y/-5=20/-5
y=-4  The y-intercept is (0,-4)
:
Find the slope of the line through the points(-3,6) and (5,2)
To find the slope between two points, use the slope formula: {{{m=(y2-y1)/(x2-x1)}}}, m=slope, (x1,y1) and (x2,y2) are given points.
(x1,y1)=(-3,6) and (x2,y2)=(5,2)
{{{m=(2-6)/(5-(-3))}}}
{{{m=-4/8}}}
{{{m-1/2}}}
Happy Calculating!!!